MacM, I have to admit I don't really understand the last paragraph of your post.
I will use the two forumlas you have given to show that 'closure time' will be shorter for objects of greater mass.
For simplicities sake, let's make up the constants so they are easier to work with:
Earth = 100kg
Bowling ball = 10kg
Soccer ball = 1 kg
Distance (r) = 1m
G = 1 (instead of 6.6742 × 10^−11)
So we have our made up world, Nonceworld.
Force = G. m1.m2 / r^2
Bowling Ball
Force = 1 . 100 . 10 / 1 = 1000 Noncicles of force
F = ma, so a = 1000/10 = 100 m/s^2
Soccer Ball
Force = 1 . 100 . 1 / 1 = 100 Noncicles of force
F = ma, so a = 100/1 = 100 m/s^2
So they accelerate at the same rate towards earth
THE EARTH
OK, this bad boy when placed a metre away from the BB
F = ma, so a = 1000/100 = 10 m/s^2
and from the SB
F = ma, so a = 100/100 = 1 m/s^2
So the Earth accelerates towards the BB faster than towards the SB.
And so the heavier object lands first.
This is Nonceworld, so the figures will be different in the real world but only in scale. And if the objects were dropped at the same time, they would both land at the same time, it's only if dropped seperately that this happens.
Last edited by Blue_UK; 08-03-04 at 08:05 AM..